标题： 随机热传导模型中的弱耦合极限 显示英文标题

标题： Weak coupling limits in a stochastic model of heat conduction

摘要： 我们研究布朗动量过程，这是一个热传导模型，与热浴弱耦合。 在两种不同的弱耦合到热浴的设定中，我们研究非平衡稳态及其与局部平衡测度的接近程度，根据耦合强度进行分析。 对于三站点和四站点系统，我们得到两点关联函数并证明它通常是非多重线性的。 显示英文摘要

摘要： We study the Brownian momentum process, a model of heat conduction, weakly coupled to heat baths. In two different settings of weak coupling to the heat baths, we study the non-equilibrium steady state and its proximity to the local equilibrium measure in terms of the strength of coupling. For three and four site systems, we obtain the two-point correlation function and show it is generically not multilinear.